Method in Geometry
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In our eReader you can find the full English version of the book. Read Method in Geometry Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Method in Geometry
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Now if A and B be joined and this line extended to meet L in O, it is known that the square of the segment on L from O to the point of tangency of the required circle is equal to the product of the segments OA and OB ; but it is known that this is also true of the length of the tangent from O to any circle through A and B ; hence one has simply to describe any circle through A and B and draw from O a tangent OD to this circle, and then OP on L, and equal to OD, will give the point of tangency P... on the given line, and the center of the required circle is easily determined.
Again, to " assume the problem solved " will not always give a figure that will lead to the discovery of the solution, nor can the proper auxiUary lines always be readily seen. In a case of this kind, one can, without a figure, simply recall theorems that relate to the thing wanted. For example.
To describe a circle passing through two given points and cutting off from a given circle an arc of given length.
In this case a figure does not materially help us.
What to read after Method in Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Charles John Stone to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
Now if A and B be joined and this line extended to meet L in O, it is known that the square of the segment on L from O to the point of tangency of the required circle is equal to the product of the segments OA and OB ; but it is known that this is also true of the length of the tangent from O to any circle through A and B ; hence one has simply to describe any circle through A and B and draw from O a tangent OD to this circle, and then OP on L, and equal to OD, will give the point of tangency P... on the given line, and the center of the required circle is easily determined.
Again, to " assume the problem solved " will not always give a figure that will lead to the discovery of the solution, nor can the proper auxiUary lines always be readily seen. In a case of this kind, one can, without a figure, simply recall theorems that relate to the thing wanted. For example.
To describe a circle passing through two given points and cutting off from a given circle an arc of given length.
In this case a figure does not materially help us.
What to read after Method in Geometry?
You can find similar books in the "Read Also" column, or choose other free books by Charles John Stone to read onlineMoreLess
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